Given numbers are 296,763,305,328

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 296,763,305,328 is 2824229240.

Find LCM of 296,763,305,328 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 37 x 763 x 305 x 41 = 2824229240

Therefore, the lowest common multiple of 296,763,305,328 is 2824229240.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

296 x 763 x 305 x 328 = 22593833920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

296 : 1, 2, 4, 8, 37, 74, 148, 296

763 : 1, 7, 109, 763

305 : 1, 5, 61, 305

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,763,305,328, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

763:7x 109

305:5x 61

328:2x 2x 2x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 22593833920/(1x8)

LCM = 22593833920/8

LCM = 2824229240

Thus, we can understand that the LCM of 296,763,305,328 is 2824229240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 744, 257, 492, 397
• LCM of 470, 652, 114, 105
• LCM of 483, 962, 270, 559
• LCM of 473, 880, 654, 267
• LCM of 361, 550, 271, 973

1. What is the LCM of 296, 763, 305, 328?

Answer: LCM of 296, 763, 305, 328 is 2824229240.

2. How to calculate the LCM of 296, 763, 305, 328?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 296, 763, 305, 328.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.